That rounded area part of the pan is still covered by the oil pan gasket. So there's a good likelihood it's the pan gasket itself, or a slightly warped pan flange. Possibly from over tightening?
If any of the oil is dripping out of the transmission side of that plate however, that's the rear main crankshaft seal. Also can be manual transmission oil leaking from the front input seal, but that's kind of rare, probably wouldn't leak that easy or much (unless someone way overfilled the tranny?) and would look and smell like nothing from the engine!
Both the pan and rear main are hassles, but doable in the driveway if need be.
The only real pain with the pan is that you have to raise the vehicle a lot more than you think to clear the front differential and to be able to snake it around the oil pump pickup tube that runs from the front to the back of the crankcase.
Otherwise, no big deal.
The rear main is under another cap and is best replaced with the trans pulled back a bit and the rear bearing cap removed and the rest of the main caps loosened to allow the crank to drop out of it's socket a little.
Very time consuming and very intimidating for the novice wrench turner I would think.
Probably a variation on that that someone who's done it recently can add to (gddyap, you out there?), but I think that's the basic concept anyway.
Good luck. Looks like quite a leak. If it turns out to be the pan, you're ahead of the game.
Since this is new to you, you might check the level to make sure it's not overfilled. You say you just did it. Do you know how many quarts of oil you put in after the drain?
Paul